Stability of plane Poiseuille-Couette flows of a piezo-viscous fluid

Article


Tran, Thien Duc and Suslov, Sergey A.. 2009. "Stability of plane Poiseuille-Couette flows of a piezo-viscous fluid." Journal of Non-Newtonian Fluid Mechanics. 156 (3), pp. 139-149. https://doi.org/10.1016/j.jnnfm.2008.07.009
Article Title

Stability of plane Poiseuille-Couette flows of a piezo-viscous fluid

ERA Journal ID5148
Article CategoryArticle
AuthorsTran, Thien Duc (Author) and Suslov, Sergey A. (Author)
Journal TitleJournal of Non-Newtonian Fluid Mechanics
Journal Citation156 (3), pp. 139-149
Number of Pages11
Year2009
Place of PublicationNetherlands
ISSN0377-0257
1873-2631
Digital Object Identifier (DOI)https://doi.org/10.1016/j.jnnfm.2008.07.009
Abstract

We examine stability of fully developed isothermal unidirectional plane Poiseuille--Couette flows of an incompressible fluid whose viscosity depends linearly on the pressure as previously considered in Hron01 and Suslov08. Stability results for a piezo-viscous fluid are compared with those for a Newtonian fluid with constant viscosity. We show that piezo-viscous effects generally lead to stabilisation of a primary flow when the applied pressure gradient is increased. We also show that the flow becomes less stable as the pressure and therefore the fluid viscosity decrease downstream. These features drastically distinguish flows of a piezo-viscous fluid from those of its constant-viscosity counterpart. At the same time the increase in the boundary velocity results in a flow stabilisation which is similar to that observed in Newtonian fluids with constant viscosity.

Keywordspressure-dependent viscosity; piezo-viscous fluid; plane Poiseuille-Couette flow; hydrodynamic stability
ANZSRC Field of Research 2020401207. Fundamental and theoretical fluid dynamics
401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
401299. Fluid mechanics and thermal engineering not elsewhere classified
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Byline AffiliationsComputational Engineering and Science Research Centre
Swinburne University of Technology
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